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Finding the Fourth Proportional to 245.86, 339.28 and 140.97

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Solution

The fourth proportional to 245.86, 339.28 and 140.97 is: 194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.86 : 339.28 = 140.97 : x
  2. Step 2: Convert to fraction form
    245.86/339.28 = 140.97/x
  3. Step 3: Cross multiply
    245.86x = 339.28 × 140.97
  4. Step 4: Simplify right side
    245.86x = 47,828.30
  5. Step 5: Solve for x
    x = 47,828.30/245.86
  6. Step 6: Final answer
    x = 194.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.